Regularized Upper Incomplete Gamma Functions

[natski]

Does anyone know of any properties in relation to adding two upper incomplete regularized gamma functions?

i.e. can you write

Q(a,z1) - Q(a,z2) = Q(a,X) ?
where X(z1,z2)

Extra information: a is a positive half-integer.

Natski

 

[natski]

If anyone feels that this problem is not solvable then please say so too!

 

[Pere Callahan]

Does anyone know of any properties in relation to adding two upper incomplete regularized gamma functions?

i.e. can you write

Q(a,z1) - Q(a,z2) = Q(a,X) ?
where X(z1,z2)

Extra information: a is a positive half-integer.

Natski

I feel it will not be possible to find such an X, if it should be a function of z1 and z2 only. Of course for each possible z1,z2,a you can define X as the number to satisfy your equation, but this is probabably not what you want.